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Finding the Fourth Proportional to 180,407.48, 270,627.12 and 47,287.28

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Solution

The fourth proportional to 180,407.48, 270,627.12 and 47,287.28 is: 70,935.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,407.48 : 270,627.12 = 47,287.28 : x
  2. Step 2: Convert to fraction form
    180,407.48/270,627.12 = 47,287.28/x
  3. Step 3: Cross multiply
    180,407.48x = 270,627.12 × 47,287.28
  4. Step 4: Simplify right side
    180,407.48x = 12,797,220,399.03
  5. Step 5: Solve for x
    x = 12,797,220,399.03/180,407.48
  6. Step 6: Final answer
    x = 70,935.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.